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Finding the Fourth Proportional to 596.99, 823.84 and 335.05

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Solution

The fourth proportional to 596.99, 823.84 and 335.05 is: 462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.99 : 823.84 = 335.05 : x
  2. Step 2: Convert to fraction form
    596.99/823.84 = 335.05/x
  3. Step 3: Cross multiply
    596.99x = 823.84 × 335.05
  4. Step 4: Simplify right side
    596.99x = 276,027.59
  5. Step 5: Solve for x
    x = 276,027.59/596.99
  6. Step 6: Final answer
    x = 462.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.